Find the length of an arc of a circle of radius 5.6cm which subtends an angle of 60°at the centre of the circle of the circle take pie 22 divided by 7
impatient much?
To find the length of an arc of a circle, you can use the formula:
Length = (θ/360) * (2πr)
Where:
- Length is the length of the arc
- θ is the central angle in degrees
- r is the radius of the circle
In this case, the radius is given as 5.6 cm and the central angle is 60°. So, we can substitute these values into the formula:
Length = (60°/360°) * (2 * 22/7 * 5.6 cm)
Simplifying this equation:
Length = (1/6) * (2 * 22/7 * 5.6 cm)
Length = (1/6) * (2 * 22 * 5.6/7 cm)
Length = (1/6) * (2 * 22 * 0.8 cm)
Length = (1/6) * (35.2 cm)
Length = 5.87 cm
Therefore, the length of the arc of the circle is approximately 5.87 cm.